SSC CGL 2022 PYQ — Question 54

SSC CGL - 05 Dec 2022 - Shift 1 • Quantitative Aptitude • Q54

The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 91.98 cm3

Given:

Side of cube = 5.6 cm

Formula used:

Volume of sphere = (4/3)πr3                ---- (1)

Calculations:

Radius of the largest sphere that fits in the cube = 5.6/2 = 2.8

Using equation (1), we get

⇒ (4/3) × (22/7) × 2.8 × 2.8 × 2.8

⇒ 91.98 cm3